728362240 has 72 divisors (see below), whose sum is σ = 1755861408. Its totient is φ = 289474560.

The previous prime is 728362237. The next prime is 728362249. The reversal of 728362240 is 42263827.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 728362196 and 728362205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728362249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206895 + ... + 210385.

It is an arithmetic number, because the mean of its divisors is an integer number (24386964).

Almost surely, 2^728362240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877930704).

728362240 is an abundant number, since it is smaller than the sum of its proper divisors (1027499168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

728362240 is a wasteful number, since it uses less digits than its factorization.

728362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 728362240 is about 26988.1870454464. The cubic root of 728362240 is about 899.7374707530.

It can be divided in two parts, 72836 and 2240, that added together give a square (75076 = 274²).

The spelling of 728362240 in words is "seven hundred twenty-eight million, three hundred sixty-two thousand, two hundred forty".